Abstract
The modulus of elasticity of some materials changes under tensile and compressive states is simulated by constructing a typical material nonlinearity in a numerical analysis in this paper. The meshless Finite Block Method (FBM) has been developed to deal with 3D semi-infinite structures in the bimodular materials in this paper. The Lagrange polynomial interpolation is utilized to construct the meshless shape function with the mapping technique to transform the irregular finite domain or semi-infinite physical solids into a normalized domain. A shear modulus strategy is developed to present the nonlinear characteristics of bimodular material. In order to verify the efficiency and accuracy of FBM, the numerical results are compared with both analytical and numerical solutions provided by Finite Element Method (FEM) in four examples.
Highlights
Structure Analysis with BimodularIt has been shown that certain materials such as composites, porous materials, rocks, cement concrete and asphalt concrete, etc., show significant differences in their strength in tension and compression states
The meshless finite block method with the infinite block mapping technique is formulated for 3D bimodular problems
The contours of von Mises stress with bimodular materials for y = 0 by: (a) Finite Block Method (FBM); (b)
Summary
It has been shown that certain materials such as composites, porous materials, rocks, cement concrete and asphalt concrete, etc., show significant differences in their strength in tension and compression states. The shape func of 24 tion describes the far-field characteristic of the problem, which can be obtained using mapping to transform the global infinite region into a local finite domain by Bettess et al. The development of new numerical methis always attractive to solve difficult and complicated engineering problems. Presented the Element-Free Galerkin method (EFGM) [28], in which Lathen, the EFGM has been widely used to simulate the fracture failure of materials and to grange was employed to ensure the boundary conditions were being satisfied. In 1996, Belytschko et al published a the EFGM has been widely used to simulate the fracture failure of materials and to show comprehensive review [31] which attracted exclusive attention in computational mechanics.
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